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In epidemic modeling, outliers can distort parameter estimation and ultimately lead to misguided public health decisions. Although there are existing robust methods that can mitigate this distortion, the ability to simultaneously detect…

Methodology · Statistics 2025-07-15 Haoming Shi , Shan Yu , Eric C. Chi

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

Applications · Statistics 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran

In disease mapping, the relative risk of a disease is commonly estimated across different areas within a region of interest. The number of cases in an area is often assumed to follow a Poisson distribution whose mean is decomposed as the…

Disease maps display the spatial pattern in disease risk, so that high-risk clusters can be identified. The spatial structure in the risk map is typically represented by a set of random effects, which are modelled with a conditional…

Methodology · Statistics 2015-03-20 Duncan Lee

The COVID-19 pandemic provided many modeling challenges to investigate the evolution of an epidemic process over areal units. A suitable encompassing model must describe the spatio-temporal variations of the disease infection rate of…

Methodology · Statistics 2023-11-20 Pierfrancesco Alaimo Di Loro , Dankmar Boehning , Sujit Sahu

Spatiotemporal modelling of infectious diseases such as COVID-19 involves using a variety of epidemiological metrics such as regional proportion of cases or regional positivity rates. Although observing their changes over time is critical…

In this paper, we develop a method to estimate the infection-rate of a disease, over a region, as a field that varies in space and time. To do so, we use time-series of case-counts of symptomatic patients as observed in the areal units that…

Applications · Statistics 2024-06-19 Cosmin Safta , Wyatt Bridgman , Jaideep Ray

Epidemic modeling is an essential tool to understand the spread of the novel coronavirus and ultimately assist in disease prevention, policymaking, and resource allocation. In this article, we establish a state of the art interface between…

Applications · Statistics 2020-12-17 Li Wang , Guannan Wang , Lei Gao , Xinyi Li , Shan Yu , Myungjin Kim , Yueying Wang , Zhiling Gu

Disease mapping focuses on learning about areal units presenting high relative risk. Disease mapping models for disease counts specify Poisson regressions in relative risks compared with the expected counts. These models typically…

Methodology · Statistics 2016-07-26 Feifei Wang , Jian Wang , Alan E. Gelfand , Fan Li

Raw data on the cumulative number of deaths at a country level generally indicate a spatially variable distribution of the incidence of COVID-19 disease. An important issue is to determine whether this spatial pattern is a consequence of…

Populations and Evolution · Quantitative Biology 2020-07-21 Lionel Roques , Olivier Bonnefon , Virgile Baudrot , Samuel Soubeyrand , Henri Berestycki

The Bayesian analysis of infectious disease surveillance data from multiple locations typically involves building and fitting a spatio-temporal model of how the disease spreads in the structured population. Here we present new generally…

Methodology · Statistics 2025-03-04 Matthew Adeoye , Xavier Didelot , Simon EF Spencer

The emergence of Covid-19 requires new effective tools for epidemiological surveillance. Spatio-temporal disease mapping models, which allow dealing with highly disaggregated spatial and temporal units of analysis, are a priority in this…

Applications · Statistics 2020-11-10 Miguel A. Martinez-Beneito , Jorge Mateu , Paloma Botella-Rocamora

Disease mapping attempts to explain observed health event counts across areal units, typically using Markov random field models. These models rely on spatial priors to account for variation in raw relative risk or rate estimates. Spatial…

Methodology · Statistics 2025-10-03 Garazi Retegui , Alan E. Gelfand , Jaione Etxeberria , María Dolores Ugarte

Predicting relative risk (RR) of spatial clusters is a complex task in public health that can be achieved through various statistical and machine-learning methods for different time intervals. However, high-resolution longitudinal data is…

Methodology · Statistics 2025-12-23 Lyza Iamrache , Kamel Rekab , Majid Bani-Yagoub , Julia Pluta , Abdelghani Mehailia

To date, we have seen the emergence of a large literature on multivariate disease mapping. That is, incidence of (or mortality from) multiple diseases is recorded at the scale of areal units where incidence (mortality) across the diseases…

Methodology · Statistics 2026-04-17 Garazi Retegui , María Dolores Ugarte , Jaione Etxeberria , Alan E. Gelfand

Objectives: Our research adopts computational techniques to analyze disease outbreaks weekly over a large geographic area while maintaining local-level analysis by incorporating relevant high-spatial resolution cultural and environmental…

Machine Learning · Computer Science 2024-11-12 Scott Pezanowski , Etien Luc Koua , Joseph C Okeibunor , Abdou Salam Gueye

State-space models (SSMs) provide a flexible framework for modelling time series data, but their reliance on Gaussian error assumptions makes them highly sensitive to outliers. We propose a robust estimation method, ROAMS, that mitigates…

Methodology · Statistics 2025-11-20 Rajan Shankar , Ines Wilms , Jakob Raymaekers , Garth Tarr

Motivated by foot-and-mouth disease (FMD) outbreak data from Turkey, we develop a model to estimate disease risk based on a space-time record of outbreaks. The spread of infectious disease in geographical units depends on both transmission…

Applications · Statistics 2021-10-19 Xiaoxiao Li , Matthew Ferrari , Michael J. Tildesley , Murali Haran

Understanding the spread of any disease is a highly complex and interdisciplinary exercise as biological, social, geographic, economic, and medical factors may shape the way a disease moves through a population and options for its eventual…

Populations and Evolution · Quantitative Biology 2016-12-14 Aristides Moustakas

As a rule statistical measures are often vulnerable to the presence of outliers and spatial correlation coefficients, critical in the assessment of spatial data, remain susceptible to this inherent flaw. In contexts where data originates…

Methodology · Statistics 2024-02-13 Vincenzo Nardelli , Giuseppe Arbia
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